november5th november5th
  • 25-09-2018
  • Mathematics
contestada

what is the equation of the following line (0,0) and (10,-2)

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lisboa lisboa
  • 25-09-2018

the equation of the following line (0,0) and (10,-2)

First we find slope of the line using the given points (0,0) and (10,-2)

[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

(0,0) is (x1,y1)  and (10,-2) is (x2,y2)

[tex]slope = \frac{-2-0}{10-0}[/tex] = [tex]\frac{-1}{5}[/tex]

Now we use equation y=mx+b

where m is the slope and b is the y intercept

[tex]y=\frac{-1}{5} x +b[/tex]

Plug in (0,0) and solve for b

[tex]0=\frac{-1}{5}(0) +b[/tex]

b=0

So equation of the line is [tex]y=\frac{-1}{5}x[/tex]

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